Cover Image

Semi-Discrete in Time Method for Time-Dependent Equations by Random Neural Basis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Guihong, Chen, Zheng-An, Luo, Tao
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation
by: Paye, Rylan C., et al.
Published: (2023)

A Discrete-Time Random Feature Method for Nonlinear Evolution Equations with Implicit-Explicit Runge--Kutta Time Stepping
by: Zhou, Haoran, et al.
Published: (2026)

Stability and Time-Step Constraints of Exponential Time Differencing Runge--Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations
by: Xu, Ziyao, et al.
Published: (2025)

AAROC: Reduced Over-Collocation Method with Adaptive Time Partitioning and Adaptive Enrichment for Parametric Time-Dependent Equations
by: Ji, Lijie, et al.
Published: (2024)

Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation
by: Matsuda, Kimberly, et al.
Published: (2025)

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models
by: Kordalis, L., et al.
Published: (2026)

Reduced Krylov Basis Methods for Parametric Partial Differential Equations
by: Li, Yuwen, et al.
Published: (2024)

ReBaNO: Reduced Basis Neural Operator Mitigating Generalization Gaps and Achieving Discretization Invariance
by: Zheng, Haolan, et al.
Published: (2025)

Predictive Moving Sample Method for Physics-Informed Neural Solvers of Time-Dependent PDEs
by: Xu, Beining, et al.
Published: (2026)

Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity
by: Gunter, D. O., et al.
Published: (1999)

A Semi-Discrete Optimal Transport Scheme for the 3D Incompressible Semi-Geostrophic Equations
by: Lavier, Théo
Published: (2024)

A Reduced Basis Method for the Stochastic Landau-Lifshitz-Gilbert Equation
by: Scaglioni, Andrea, et al.
Published: (2025)

Decoupled Divergence-Free Neural Networks Basis Method for Incompressible Fluid Problems
by: Cheng, Jinbao, et al.
Published: (2026)

Local Randomized Neural Networks with Discontinuous Galerkin Methods for KdV-type and Burgers Equations
by: Sun, Jingbo, et al.
Published: (2024)

Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
by: Cen, Siyu, et al.
Published: (2026)

Finite Element Convergence Analysis For Wave Equations With Time-Dependent Coefficients
by: Jarroudi, Oussama Al, et al.
Published: (2026)

Numerical Identification of a Time-Dependent Coefficient in a Time-Fractional Diffusion Equation with Integral Constraints
by: Altybay, Arshyn
Published: (2025)

Exponential Time Differencing Runge-Kutta Discontinuous Galerkin (ETD-RKDG) Methods for Nonlinear Degenerate Parabolic Equations
by: Xu, Ziyao, et al.
Published: (2025)

TINNs: Time-Induced Neural Networks for Solving Time-Dependent PDEs
by: Dai, Chen-Yang, et al.
Published: (2026)

A Micro-Macro Decomposition-Based Asymptotic-Preserving Random Feature Method for Multiscale Radiative Transfer Equations
by: Chen, Jingrun, et al.
Published: (2024)

Quantum Recurrent Neural Networks with Encoder-Decoder for Time-Dependent Partial Differential Equations
by: Chen, Yuan, et al.
Published: (2025)

A Stochastic Method for Solving Time-Fractional Differential Equations
by: Guidotti, Nicolas L., et al.
Published: (2023)

Time-Dependent Solutions to the 2D Kuramoto-Sivashinsky Equation via Pseudospectral Method on a Rectangular Domain
by: Žigić, Jovan
Published: (2023)

Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients
by: Adak, Dibyendu, et al.
Published: (2024)

An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with polynomial nonlinearities
by: Li, Lin, et al.
Published: (2024)

Weak Random Feature Method for Solving Partial Differential Equations
by: Kuvakin, Mikhail, et al.
Published: (2025)

Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
by: Feng, Qiwei, et al.
Published: (2025)

Latent Neural Operator Pretraining for Solving Time-Dependent PDEs
by: Wang, Tian, et al.
Published: (2024)

Adaptive Time-Step Semi-Implicit One-Step Taylor Scheme for Stiff Ordinary Differential Equations
by: Boscarino, S., et al.
Published: (2024)

Adaptive Basis-inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features
by: Li, Ke, et al.
Published: (2024)

Solving and learning advective multiscale Darcian dynamics with the Neural Basis Method
by: Wang, Yuhe, et al.
Published: (2026)

A Conservative Cascade Semi-Lagrangian Method for Solving the Vlasov Equation
by: Xu, Chunyang, et al.
Published: (2025)

Discretization, Uniform-in-Time Estimations and Approximation of Invariant Measures for Nonlinear Stochastic Differential Equations with Non-Uniform Dissipativity
by: Huang, Shan, et al.
Published: (2025)

Explicit Monotone Stable Super-Time-Stepping Methods for Finite Time Singularities
by: Tan, Zheng, et al.
Published: (2025)

Neural Multiscale Decomposition for Solving The Nonlinear Klein-Gordon Equation with Time Oscillation
by: Liang, Zhangyong, et al.
Published: (2025)

CUR for Implicit Time Integration of Random Partial Differential Equations on Low-Rank Matrix Manifolds
by: Naderi, Mohammad Hossein, et al.
Published: (2024)

Randomized Radial Basis Function Neural Network for Solving Multiscale Elliptic Equations
by: Wu, Yuhang, et al.
Published: (2024)

Numerical Approaches for Identifying the Time-Dependent Potential Coefficient in the Diffusion Equation
by: Altybay, Arshyn, et al.
Published: (2025)

A Spectral Localization Method for Time-Fractional Integro-Differential Equations with Nonsmooth Data
by: Zhao, Lijing, et al.
Published: (2025)

Parallel-in-Time Solution of Allen-Cahn Equations by Integrating Operator Learning into the Parareal Method
by: Geng, Yuwei, et al.
Published: (2025)